Determine whether the points A(-2, 9), B(4, -1), and C(7, -6) lie on a straight line.
A) yes
B) no

Question

Determine whether the points A(-2, 9), B(4, -1), and C(7, -6) lie on a straight line. ​
A) yes
B) no

Quizplus · Accepted Answer

To determine whether the points lie on a straight line, we can use the slope formula: 
slope = (y2 - y1) / (x2 - x1)

Calculating the slope of AB: 
slope_AB = (-1 - 9) / (4 - (-2)) = -10/6 = -5/3

Calculating the slope of BC: 
slope_BC = (-6 - (-1)) / (7 - 4) = -5/3

The slopes of both AB and BC are equal (-5/3), which means the points are collinear and lie on the same line. Therefore, the answer is A (yes).

Determine Whether the Points A(-2, 9), B(4, -1), and C(7